Itinerary help required

We are a group of 8 and we plan to travel to coorg and mysore between the 6th and 13th of May.We plan to break in Bangalore on the 6th and We have booked accommodation in coorg from the 7th and will be checking out on the 10th after which we will proceed to Mysore and stay there until the 13th. Please let me know:

1. What are the places we can visit between Bangalore and Madikeri on the 7th.
2. What are the places we can visit in coorg on the 7th, 8th and 9th
3. Are there any places we can visit on way back from madikeri to Mysore

4.How many days do we need to spend in Mysore to see the places of interest.

Please let me know the best itinerary for the above as we do not want to have a rushed holiday. We would like to relax as we are driving down from Chennai.

Thank you!